Bosonisation and Parastatistics: An Example and an Alternative Approach

Details Bosonisation and Parastatistics: An Example and an Alternative Approach Bosonisation and Parastatistics: An Example and an Alternative Approach

2007-01-09

arxiv.org/abs/math-ph/0701023v1

Physics

Mathematical Physics

13 pages, Contribution to "AGMF: Algebra, Geometry, and Mathematical Physics", Baltic-Nordic Workshop: Lund, 12-14 October, 20

Scientific paper

Definitions of the parastatistics algebras and known results on their Lie (super)algebraic structure are reviewed. The notion of super-Hopf algebra is discussed. The bosonisation technique for switching a Hopf algebra in a braided category ${}_{H}\mathcal{M}$ ($H$: a quasitriangular Hopf algebra) into an ordinary Hopf algebra is presented and it is applied in the case of the parabosonic algebra. A bosonisation-like construction is also introduced for the same algebra and the differences are discussed.

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